What is the Least Common Multiple of 57840 and 57855?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 57840 and 57855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57840 and 57855, than apply into the LCM equation.

GCF(57840,57855) = 15
LCM(57840,57855) = ( 57840 × 57855) / 15
LCM(57840,57855) = 3346333200 / 15
LCM(57840,57855) = 223088880

Least Common Multiple (LCM) of 57840 and 57855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57840 and 57855. First we will calculate the prime factors of 57840 and 57855.

Prime Factorization of 57840

Prime Factorization of 57855

Now multiplying the highest exponent prime factors to calculate the LCM of 57840 and 57855.

LCM(57840,57855) = 2⁴ × 3¹ × 5¹ × 241¹ × 7¹ × 19¹ × 29¹
LCM(57840,57855) = 223088880